The Steam release of Final Fantasy VIII is a pretty terrible and lazy port. FYI, If anyone else is using an ASUS Xonar sound card and has been experiencing a sound stutter approximately every minute into any FFVIII FMV sequence (for example: At the point where the feather leave’s Rinoa’s hand during the intro movie and literally every minute after that): I was able to instantly resolve this issue by disabling GX DPS Mode in the Xonar Audio Center; No other audio setting that I tested (Dolby headphones, audio channels, etc) had any effect on the stutter. If it matters, I am using the UNi-Xonar drivers.
If you are still having problems after disabling GX, then I have no idea what is causing it. Neither the Roses and Wine soundtrack mod nor the FMV replacement mod had any effect whatsoever.